/sci/ - Science & Math

Anonymous Wed Sep 21 07:36:51 2022 No.14863467 [View]
File: 54 KB, 1306x815, dihedral.jpg [View same] [iqdb] [saucenao] [google]

Really stupid question. Let's say I have a square labeled 1234 like pic related.
p1 is counterclockwise rotation of 90 degrees, which can be written as
1234
4123
μ2 is flipping along the horizontal bisector of the square, i.e.
1234
2143
I want to rotate and then flip the square.
The thing is, when I apply the rotation first, the indices of the vertices of the square would change, which makes the horizontal flipping bijective incorrect (not horizontal flipping anymore?)
Is this supposed to happen?

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/sci/ - Science & Math

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